Between these phases, there are several types of quantum phase transitions, such as a Gaussian topological phase transition between the gapful Haldane and large-D phases with opposite parity symmetry [1]}, [2]}, an infinite-order Berezinskii-Kosterlitz-Thouless (BKT) transition between the gapless XY phases and the gapful Haldane or large-D phases [2]}, an Ising transition between the Néel and Haldane phases [2]}, and a first-order transition between the ferromagnetic phase and the large-D or XY phases [2]}.
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